Printable · GCSE Foundation · ages 14-16
Properties of 3D shapes worksheet — GCSE Foundation
Fifteen questions on "properties of 3d shapes" — DfE statement G12. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
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Properties of 3D shapes worksheet — GCSE Foundation
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- 1.How many vertices does a square-based pyramid have?
- 2.A square-based pyramid is cut by a flat plane parallel to its base, partway up between the base and the apex. What shape is the cross-section?
- 3.A solid has one curved surface and two flat circular faces of equal size, one at each end. What is the name of this solid?
- 4.A solid has 6 faces and 8 vertices. Using the formula F + V − E = 2, work out how many edges it has.
- 5.How many vertices does a cylinder have?
- 6.A solid has 5 faces, 9 edges and 6 vertices. Two of its faces are triangles and the other three are rectangles. Which solid is it?
- 7.A cube has all of its edges the same length. How many planes of symmetry does it have?
- 8.A solid has 4 triangular faces, 4 vertices and 6 edges. What is the name of this solid?
- 9.In this question, a curved surface counts as a face. How many faces does a cone have?
- 10.A tent is shaped like a triangular prism: two triangular end faces and three rectangular faces. One of the rectangular faces lies flat on the ground as the groundsheet. How many of the tent's faces are above the ground, not touching the ground?
- 11.A solid has 10 vertices and 15 edges. Using the formula F + V − E = 2, work out how many faces it has.
- 12.How many edges does a triangular prism have?
- 13.A solid has two parallel, congruent polygon faces joined by flat rectangles, and its cross-section is the same shape all the way along its length. Which solid is it?
- 14.A packaging designer is told a box has 6 faces, 12 edges and 8 vertices, and every face is a rectangle. To fit exactly onto a shelf, the designer needs to know whether the box must be a cube. Based only on this information, which solid must the box be?
- 15.A hexagonal prism lies on a table. A flat cut is made straight across it, at right angles to its length (so the cut is parallel to the two identical end faces). What shape is the cross-section?
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